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Phys. Rev. D 72, 067301 (2005) [4 pages]

Preclassical solutions of the vacuum Bianchi I loop quantum cosmology

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Ghanashyam Date*
The Institute of Mathematical Sciences, CIT Campus, Chennai-600 113, India

Received 13 May 2005; published 12 September 2005

Loop quantization of diagonalized Bianchi class A models, leads to a partial difference equation as the Hamiltonian constraint at the quantum level. A criterion for testing a viable semiclassical limit has been formulated in terms of existence of the so-called preclassical solutions. We demonstrate the existence of preclassical solutions of the quantum equation for the vacuum Bianchi I model. All these solutions avoid the classical singularity at vanishing volume.

© 2005 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevD.72.067301
DOI:
10.1103/PhysRevD.72.067301
PACS:
98.80.Qc, 04.60.Pp, 98.80.Bp

*Electronic address: shyam@imsc.res.in